Cremona's table of elliptic curves

377 = 13 · 29

Field	Data	Notes
Atkin-Lehner	13- 29-	Signs for the Atkin-Lehner involutions
Class	377a	Isogeny class
Conductor	377	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	828269 = 134 · 29	Discriminant
Eigenvalues	1  0 -2  0 -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-158,-725]	[a1,a2,a3,a4,a6]
Generators	[22:67:1]	Generators of the group modulo torsion
j	437764156857/828269	j-invariant
L	1.9439778472024	L(r)(E,1)/r!
Ω	1.346343492256	Real period
R	1.4438944135608	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6032f3 24128a4 3393g3 9425b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 377a3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
1	0	-2	0	-4	-	2	-4	8	-	-8	2	-10	-8	8	6	12	6	12	-16	-10	-12	-12	-10	14

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Quadratic twists for elliptic curve 377a3

-4	8	-3	5	-7	-11	13	17	29
6032f3	24128a4	3393g3	9425b3	18473a3	45617a4	4901c3	108953f4	10933a3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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